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Finding the Third Proportional to 347,289,343,516 and 752,274,047,760

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Solution

The third proportional to 347,289,343,516 and 752,274,047,760 is: 1,629,523,777,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,289,343,516 : 752,274,047,760 = 752,274,047,760 : x
  2. Step 2: Convert to fraction form
    347,289,343,516/752,274,047,760 = 752,274,047,760/x
  3. Step 3: Cross multiply
    347,289,343,516x = 752,274,047,760 × 752,274,047,760
  4. Step 4: Simplify right side
    347,289,343,516x = 565,916,242,933,214,779,277,312
  5. Step 5: Solve for x
    x = 565,916,242,933,214,779,277,312/347,289,343,516
  6. Step 6: Final answer
    x = 1,629,523,777,504.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.